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Question : Ranji Trophy is affiliated with which sport?
Option 1: Cricket
Option 2: Football
Option 3: Badminton
Option 4: Hockey
Correct Answer: Cricket
Solution : The correct answer is Cricket.
The Ranji Trophy is a domestic first-class cricket championship played in India. The Ranji Trophy was founded by the Board of Control for Cricket in India (BCCI). The other famous domestic cricket championships are the Vijay Hazare Trophy, Deodhar
Question : If 4$\theta$ is an acute angle, and cot 4$\theta$ = tan($\theta$ – 5°), then what is the value of $\theta$?
Option 1: 19°
Option 2: 45°
Option 3: 21°
Option 4: 24°
Correct Answer: 19°
Solution : According to the question, ⇒ $\cot(4θ) = \tan(θ - 5°)$ ⇒ $\cot(4θ) = \cot(90° - (θ - 5°))$ ⇒ $4θ = 90° - (θ - 5°)$ ⇒ $4θ +θ - 5° = 90°$ ⇒ $5θ = 95° $ ⇒ $θ =19°$ Hence, the correct answer
Question : The ratio of the number of boys to that of girls in a school is 11 : 15. If there are 200 more girls than boys, what is the number of boys in that school?
Option 1: 550
Option 2: 750
Option 3: 506
Option 4: 605
Correct Answer: 550
Solution : Let the number of boys be 11$x$ and girls be 15$x$ Difference = 15$x$ – 11$x$ = 4$x$ Given: Girls are 200 more than boys 4$x$ = 200 ⇒ $x$ = 50 $\therefore$ Boys = 11$x$ = 11 × 50 = 550 Hence, the correct
Question : Directions: Select the odd letter cluster from the given alternatives.
Option 1: HJLN
Option 2: LNPR
Option 3: SUWY
Option 4: EGIJ
Correct Answer: EGIJ
Solution : Let's check the options – First option: HJLN; H + 2 = J; J + 2 = L; L + 2 = N Second option: LNPR; L + 2 = N; N + 2 = P; P + 2 = R Third option: SUWY; S
Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series. CDE, IHG, KLM, QPO, STU, ?
Option 1: YXW
Option 2: WXY
Option 3: XYW
Option 4: XWY
Correct Answer: YXW
Solution : Given: CDE, IHG, KLM, QPO, STU, ?
The pattern follows to find the missing term –
So, YXW is the missing term in the series. Hence, the first option is correct.
Question : In which of the following years was the voting age reduced from 21 years to 18 years?
Option 1: 1990
Option 2: 1992
Option 3: 1988
Option 4: 1989
Correct Answer: 1988
Solution : The correct option is 1988.
The voting age was reduced from 21 years to 18 years with the 61st Amendment Act of 1988. This amendment came into effect on March 28, 1989. Before the amendment, the voting age in India had been 21 years.
Question : Select the most appropriate option to complete the given sentence.
His brother _______ his ________ and gave him a watch after his result.
Option 1: took, word
Option 2: broke, record
Option 3: lost, temper
Option 4: kept, promise
Correct Answer: kept, promise
Solution : The most appropriate option to complete the given sentence is the fourth option.
Explanation: In the context of the sentence, the verb kept is appropriately paired with the noun promise to convey a meaningful action. The sentence indicates that his brother fulfilled or honoured
Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series. 524, 533, 544, 557, ?
Option 1: 574
Option 2: 568
Option 3: 572
Option 4: 564
Correct Answer: 572
Solution : Given: 524, 533, 544, 557, ?
The pattern is as follows – 524 + 9 = 533; 533 + 11 = 544; 544 + 13 = 557; 557 + 15 = 572
So, 572 is the missing number of the series. Hence, the third option
Question : Directions: In the following question, select the missing number from the given alternatives:
Option 1: 9
Option 2: 8
Option 3: 6
Option 4: 7
Correct Answer: 6
Solution : Given:
Adding the numbers in each column, Column 1: 6 + 7 + 3 = 16 Column 2: 10 + 2 + 4 = 16 Similarly for Column 3: 9 + 1 + ? = 16
Question : Simplify: $\sqrt{\frac{4\frac{1}{7}-2\frac{1}{4}}{3\frac{1}{2}+1\frac{1}{7}}+\frac{2}{2+\frac{1}{2+\frac{1}{5-\frac{1}{5}}}}}$
Option 1: $1$
Option 2: $4$
Option 3: $\sqrt{\frac{159}{130}}$
Option 4: $2$
Correct Answer: $\sqrt{\frac{159}{130}}$
Solution : $\sqrt{\frac{4\frac{1}{7}-2\frac{1}{4}}{3\frac{1}{2}+1\frac{1}{7}}+\frac{2}{2+\frac{1}{2+\frac{1}{5-\frac{1}{5}}}}}$ = $\sqrt{\frac{\frac{29}{7}-\frac{9}{4}}{\frac{7}{2}+\frac{8}{7}}+\frac{2}{2+\frac{1}{2+\frac{5}{24}}}}$ = $\sqrt{\frac{\frac{53}{28}}{\frac{65}{14}}+\frac{2}{2+\frac{24}{53}}}$ = $\sqrt{\frac{53}{130}+\frac{106}{130}}$ = $\sqrt{\frac{159}{130}}$ Hence, the correct answer is $\sqrt{\frac{159}{130}}$.
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